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{| class="wikitable" style="float:right; margin-left: 0.5em; text-align: '×';"|+
ISO 269 sizes(
millimeter)|-!colspan="2"| C Series|-| C0 || 917 × 1297|-| C1 || 648 × 917|-| C2 || 458 × 648|-| C3 || 324 × 458|-| C4 || 229 × 324|-| C5 || 162 × 229|-| C6 || 114 × 162|-| C7/6 || 81 × 162|-| C7 || 81 × 114|-| C8 || 57 × 81|-| C9 || 40 × 57|-| C10 || 28 × 40|-| DL || 110 × 220|}{| class="wikitable" style="float:right; margin-left: 0.5em; text-align: '×';"|+
ISO 216 sizes(millimeter)|-!colspan="2"| A Series|-| A0 || 841 × 1189|-| A1 || 594 × 841|-| A2 || 420 × 594|-| A3 || 297 × 420|-| A4 || 210 × 297|-| A5 || 148 × 210|-| A6 || 105 × 148|-| A7 || 74 × 105|-| A8 || 52 × 74|-| A9 || 37 × 52|-| A10 || 26 × 37|-!colspan="2"| B Series|-| B0 || 1000 × 1414|-| B1 || 707 × 1000|-| B2 || 500 × 707|-| B3 || 353 × 500|-| B4 || 250 × 353|-| B5 || 176 × 250|-| B6 || 125 × 176|-| B7 || 88 × 125|-| B8 || 62 × 88|-| B9 || 44 × 62|-| B10 || 31 × 44|}
ISO 216 specifies
International Organization for Standardization (ISO)
paper sizes used in most countries in the world today. It is the standard which defines the well-known A4 paper size.
The international ISO standard is based on the
Germany Deutsches Institut für Normung standard 476 (
DIN 476) from 1922. Some of the formats contained therein were independently invented in France during its revolution and later forgotten. The aspect ratio used by this norm was mentioned in a letter by the German
Georg Christoph Lichtenberg written
1786-10-25.
- ISO 216:1975, defines two series of paper sizes: A and B
- ISO 269:1985, defines a C series for envelopes
- ISO 217:1995, defines two untrimmed series of raw paper sizes: RA and SRA
A series
Paper in the A series format has a 1:\sqrt{2} aspect ratio, although this is rounded to the nearest millimeter. A0 is defined so that it has an area of 1 square metre, prior to the above mentioned rounding. Successive paper sizes in the series (A1, A2, A3, etc.) are defined by halving the preceding paper size parallel to its shorter side, again prior to rounding. The most frequently used of this series is the size A4 (210 × 297 mm). A4 paper is 6 mm narrower and 18 mm longer than the "
Letter (paper size)" paper size, 8½ × 11 inches (216 × 279 mm), commonly used in North America.
The formula that gives the larger border of the paper size An in metres and without rounding off is the geometric sequence: a_n = 2^{\frac{1}{4} - \frac{n}{2-->. The paper size An thus has the dimension a_n × a_{n+1}.
B series
The B series formats are
geometric means between the A series format with the same number and the A series format with one lower number. For example, B1 is a geometric mean between A1 and A0. The sides of B0 are 1 m to \sqrt{2} m.
There is also an incompatible Japanese B series defined by the
Japanese Industrial Standard. The lengths of JIS B series paper are approximately 1.22 times those of A-series paper.
C series
The C series formats are geometric means between the B series format with the same number and the A series format with the same number, (e.g., C2 is the geometric mean between B2 and A2). The C series formats are used mainly for envelopes. An A4 page will fit into a C4 envelope. C series envelopes follow the same ratio principle as the A series pages. For example, if an A4 page is folded in half so that it is A5 in size, it will fit into a C5 envelope (which will be the same size as a C4 envelope folded in half).
Tolerances
The tolerances specified in the standard are
- ±1.5 mm for dimensions up to 150 mm,
- ±2 mm for lengths in the range 150 to 600 mm, and
- ±3 mm for any dimension above 600 mm.
A, B, C comparison
{| class="wikitable"|+ ISO/DIN paper sizes in millimetres and in inches! colspan="1" |! colspan="2" | A Series Formats! colspan="2" | B Series Formats! colspan="2" | C Series Formats|- align="CENTER"| size| mm| inches| mm| inches| mm| inches|- align="CENTER"| 0| 841 × 1189| 33.1 × 46.8| 1000 × 1414| 39.4 × 55.7| 917 × 1297| 36.1 × 51.1|- align="CENTER"| 1| 594 × 841| 23.4 × 33.1| 707 × 1000| 27.8 × 39.4| 648 × 917| 25.5 × 36.1|- align="CENTER"| 2| 420 × 594| 16.5 × 23.4| 500 × 707| 19.7 × 27.8| 458 × 648| 18.0 × 25.5|- align="CENTER"| 3| 297 × 420| 11.7 × 16.5| 353 × 500| 13.9 × 19.7| 324 × 458| 12.8 × 18.0|- align="CENTER"| 4|
210 × 297|
8.3 × 11.7| 250 × 353| 9.8 × 13.9| 229 × 324| 9.0 × 12.8|- align="CENTER"| 5| 148 × 210| 5.8 × 8.3| 176 × 250| 6.9 × 9.8| 162 × 229| 6.4 × 9.0|- align="CENTER"| 6| 105 × 148| 4.1 × 5.8| 125 × 176| 4.9 × 6.9| 114 × 162| 4.5 × 6.4|- align="CENTER"| 7| 74 × 105| 2.9 × 4.1| 88 × 125| 3.5 × 4.9| 81 × 114| 3.2 × 4.5|- align="CENTER"| 8| 52 × 74| 2.0 × 2.9| 62 × 88| 2.4 × 3.5| 57 × 81| 2.2 × 3.2|- align="CENTER"| 9| 37 × 52| 1.5 × 2.0| 44 × 62| 1.7 × 2.4| 40 × 57| 1.6 × 2.2|- align="CENTER"| 10| 26 × 37| 1.0 × 1.5| 31 × 44| 1.2 × 1.7| 28 × 40| 1.1 × 1.6|-| | colspan="2" | | colspan="2" | | colspan="2" | |}
Application
Before the adoption of ISO 216, many different paper formats were used internationally. These formats did not fit into a coherent system and were defined in terms of non-metric units.
The ISO 216 formats are organized around the ratio 1:\sqrt{2}; two sheets next to each other together have the same ratio, sideways. This simplifies copying two A4 sheets in reduced size onto one A4 sheet, copying an A4 sheet in magnified size on an A3 sheet, or copying half an A4 sheet in magnified size on an A4 sheet. The principal countries not generally using the ISO paper sizes are the
United States and
Canada, which use the Paper size#Loose sizes. (Canada uses a P-series of sizes, which are the US paper sizes rounded to metric dimensions.)
rectangle sheets of paper with the ratio 1:\sqrt{2} are popular in paper folding, where they are sometimes called "A4 rectangles" or "silver rectangles". (Confusingly, "silver rectangle" can also refer to a rectangle in the proportion 1:(1+\sqrt{2})), known as the
silver ratio.)
See also
External links
- International standard paper sizes: ISO 216 details and rationale
- ISO 216 at iso.org
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